Finding the Third Proportional to 111,738 and 165,434

Step by Step Solution

1. Step 1: Write the proportion equation
   111,738 : 165,434 = 165,434 : x
2. Step 2: Convert to fraction form
   111,738/165,434 = 165,434/x
3. Step 3: Cross multiply
   111,738x = 165,434 × 165,434
4. Step 4: Simplify right side
   111,738x = 27,368,408,356
5. Step 5: Solve for x
   x = 27,368,408,356/111,738
6. Step 6: Final answer
   x = 244,933.76